VALLIAMMAI ENGINEERING COLLEGE SRM Nagar, Kattankulathur
|
|
- Prosper Turner
- 6 years ago
- Views:
Transcription
1 VALLIAMMAI ENGINEERING COLLEGE SRM Nagar, Kattankulathur DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGINEERING SUBJECT QUESTION BANK : EC6405 CONTROL SYSTEM ENGINEERING SEM / YEAR: IV / II year B.E. EC6405 CONTROL SYSTEM ENGINEERING UNIT I CONTROL SYSTEM MODELLING Basic Elements of Control System Open loop and Closed loop systems - Differential equation - Transfer function, Modeling of Electric systems, Translational and rotational mechanical systems - Block diagram reduction Techniques - Signal flow graph PART A Q.No Questions BT Level Domain 1. Compare the Open loop System with Closed loop System. BTL 4 2. Design the Electrical analogous network for the mechanical system shown in the fig. using Force-Voltage Analogy. BTL 6 3. Mention the transfer Function of the System. 4. List the advantages of Closed loop System? 5. What are the Properties of Signal flow graphs? 6. Give Mason s gain formula of Signal flow graph. BTL 2
2 7. Explain any two dynamic models to represent control system. BTL5 8. Discuss about the block diagram and its components of a control system. BTL 2 9. Demonstrate the basic elements used for modelling a mechanical rotational system. BTL Assess feedback and its types employed in Control system. BTL Negative feedback is preferred in control system. Justify BTL Write F-V Analogy for the elements of mechanical rotational system? 13. Illustrate any two rules to be followed in block diagram reduction techniques. BTL Define Control System 15. Analyze non-touching loops. BTL Interpret signal flow graph BTL Name the two types of electrical analogous for mechanical system. 18. Formulate force balance equation of ideal spring, ideal mass. BTL Calculate transfer function of the network BTL3 20. Describe mathematical model of a system. BTL 2 PART B 1. i. Determine the Transfer Function of the system Shown in the fig. BTL 5 ii. Determine the Transfer function of the electrical network shown in the fig.
3 BTL 5 2. (i) Modify the Block diagram to its Canonical form and obtain C(s)/R(s). (10M) BTL 6 BTL4 ii. Comparison between block diagram and Signal flow graph methods.(6m) 3. Solve C/R for the signal flow graph shown below. BTL 3 4. i. Consider the Mechanical system shown below and write the Differential equation. BTL1 ii. Draw the torque-voltage electrical analogous circuit for the mechanical
4 system shown below. 5. i. For the Signal flow graph shown below find C/R, using Mason s gain formula. BTL1 ii. Find the Transfer Function C(S)/R(S) of block diagram shown below. 6. i. Construct the Equivalent signal flow graph and obtain C/R using mason s gain formula for the block diagram show below. BTL6
5 ii. For the block diagram shown below, Calculate the output C/R 7. Using SFG, Analyze the overall Transfer function for the system shown in the fig. BTL3 BTL4 8. Give the differential equations governing the mechanical rotational system shown in Fig. and estimate the T-V and T-I electrical analogous circuits. 9. Write the differential Equations governing the mechanical system shown in the fig. and determine the transfer function. BTL1
6 10. Estimate the overall transfer function of the system shown in the fig. Fig(i) Fig(ii) UNIT II TIME RESPONSE ANALYSIS Time response analysis - First Order Systems - Impulse and Step Response analysis of second order systems - Steady state errors P, PI, PD and PID Compensation, Analysis using MATLAB PART A Q.No Questions BT Level Domain 1. Illustrate how a Control system is classified depending on the value of damping ratio? BTL 3
7 2. List the advantages of generalized error coefficients. 3. Why derivative controller is not used in Control systems? BTL 6 4. Give the steady state error values to standard inputs for type 2 systems. BTL 2 5. Determine the Damping ratio and natural frequency of oscillation for the closed loop transfer function of a second order system is given by 400. s 2 +2s+400 BTL 5 6. What is meant by peak overshoot? 7. Mention steady state error. 8. Define rise time. 9. The damping ratio and natural frequency of a second order system are 0.5 and 8 rad/sec respectively. Calculate resonant peak and resonant frequency. BTL With reference to time response, Examine peak time. BTL Describe the transient and steady state response of control system? BTL Give the units of kp, kv, ka. BTL Outline the response of the second order under damped system. BTL Point out the time domain specifications. BTL Summarize the generalized error and static error constants. BTL Compare position and velocity error constants. BTL Define damping ratio. 18. Demonstrate the test signals used in time response analysis. BTL Label a step signal. 20. Formulate ramp, parabolic and impulse signal. BTL 6 PART B 1. (i) For the system shown below, Analyze the effect of PD controller with Td= 1 / 10 on peak overshoot and settling time when it is excited by unit step input. BTL 4
8 (ii) Discuss the effect of PID controller in the forward path of a system. 2. The Unity feedback system is characterized by the open loop transfer function G (S) = k s(s+10). Estimate the gain K, so that the system will have the damping ratio of 0.5. For this value of K, Determine the settling times, peak overshoot, and time to peak overshoot for a unit step input. 3. Evaluate the Expression for Rise time, fall time, settling time, peak overshoot. 4. The open loop transfer function of a unity feedback control system is given by G(S) = k s(st+1) where K and T are positive constants. Illustrate by what factor the amplifier gain should be reduced so that the peak overshoot of unit step response of the system is reduced from 75% to 25%. BTL 5 BTL3 5. Consider a Second order model Y(S) response y (t) to a unit step input. R(S) = ω2 n s 2 +2εω n s+ω2 ; 0 < ε < 1. Find the n 6. (i) A unit ramp input is applied to a unity feedback system whose output response is C(s)= 100/(s 2 +5s+100). Analyze the time response and steady state error. (ii) For a unity feedback control system the open loop transfer function G(s) = 10(s+2)/s 2 (s+1). Calculate K p, K V, K a and the steady state error when the input is R(s) where R(s) s s 3s. 7. (i) Derive an Expression to find steady state error of closed loop system. (ii) A unity feedback system has the forward transfer function G(S) = KS/ (1+S) 2 for the input r(t)=1+5t, formulate the minimum value of K so that the steady state error is < 0.1. (Use final value theorem). 8 (i) Determine the unit step response of the control system shown in the fig. BTL 4 BTL3 BTL 6 BTL1
9 (ii) The open loop transfer function of a unity feedback system is given by G(s) = 20/ S(S+2). The input function is r(t)=2+ 3t + t 2. Determine generalized error coefficient and steady state error. 9 i. A unity feedback system with unit step input for which open loop transfer function G(s) =16/s(s+8).Find the transfer function, the natural Frequency, the damping ratio and the damped frequency of oscillation. ii. Write the response of undamped second order system for unit step input. 10 The unity feedback system is characterized by an open loop transfer function G(s) = K(2s+1)/ s(5s+1)(1+s) 2 with r(t) = (1+6t). Estimate the minimum value of K if the steady error is to be less than 0.1. BTL1 UNIT III FREQUENCY RESPONSE ANALYSIS Frequency Response - Bode Plot, Polar Plot, Nyquist Plot - Frequency Domain specifications from the plots - Constant M and N Circles - Nichol s Chart - Use of Nichol s Chart in Control System Analysis. Series, Parallel, series-parallel Compensators - Lead, Lag, and Lead Lag Compensators, Analysis using MATLAB. PART A Q.No Questions BT Level Domain 1. Derive the transfer function of a lead compensator network. BTL 6 2. Define Phase margin & gain margin. 3. Illustrate the need for compensation. BTL3 4. What is Nyquist plot? 5. Describe Lag-Lead compensation. 6. Sketch shape of polar plot for the open loop transfer function G(s)H(s) = 1 s(1+ts)
10 7. Analyze the effects of addition of open loop poles. BTL 4 8. Summarize the advantages of Frequency Response Analysis. 9. Mention gain crossover Frequency. 10. Express M and N circles in detail 11. Demonstrate the MATLAB Command for drawing Bode Plot for BTL3 Y(S)/U(S)= 4S+6/S 3 +3S 2 +8S Explain compensators and list types of compensators. BTL Formulate the transfer function of a lead compensator network. BTL List the advantages of Nichol s chart 15. Estimate the corner frequency in frequency response analysis? 16. Draw the circuit of lead compensator and draw its pole zero diagram. 17. Frame the specifications required for frequency domain analysis? BTL3 18. Compare series compensator and feedback compensator BTL Determine the Phase angle of the given transfer function G(S) = 10 / S (1+0.4S) (1+0.1S) 20. Evaluate the frequency domain specification of a second order system when closed loop transfer function is given by C(S)/R(S)= 164 s 2 +10s+64 PART B 1. Given G(s) = ke 0.2s /s(s + 2)(s + 8) Draw the Bode plot and find K for the following two cases: (i) Gain margin equal to 6db (ii) Phase margin equal to An UFB system has G(s) = 10. Design a Lead Compensator for the s(s+1) following specification e ss = 20sec, Phase Margin = 50 deg. and Gain Margin 10dB 3. The open loop transfer function of a unity feedback control system is G(s) = k s(s+1)(s+2).illustrate a suitable lag-lead compensator so as to meet the following specifications static energy velocity error constant K v =10 sec -1, phase margin =50 and gain margin 10db. BTL 5 BTL 5 BTL6 BTL3 4. Consider a unity feedback system having an open loop transfer function K GS ( ) S(1 0.5 S)(1 4 S)
11 Outline the polar plot and determine the value of K so that (i) Gain margin is 20db (ii) phase margin is A unity feedback control system has G(s) = plot. Find K when GCOF = 5rad/sec. ks 2 (1+0.2s)(1+0.02s)_ Draw the Bode 6. Sketch the polar plot and find the gain and phase margin of a control system 1 has G(s) = with unity feedback. s 2 (s+1)(1+2s) 7. Discuss a suitable lead compensator for a system with G(S) = the specifications. (i) Kv = 20 sec -1 (ii) Phase Margin = +50 (iii) Gain margin +10db k s(s+2) to meet 8. A Unity feedback system has an open loop transfer function, G(s) = k s(1+2s). Select a suitable lag compensator so that phase margin is 40 and the steady state error for ramp input is less than or equal to Recommend a Lead Compensator for a Unity feedback System with Open loop transfer function G(S) = K/S(S+1)(S+3) to Satisfy the following Specifications. i) Velocity error Constant, Kv 50 ii) Phase Margin is 20 degrees. 10. Explain in detail the procedure for Nichol s chart with M and N circles. BTL4 BTL 5 BTL4 UNIT-4 STABILITY ANALYSIS Stability, Routh-Hurwitz Criterion, Root Locus Technique, Construction of Root Locus, Stability, Dominant Poles, Application of Root Locus Diagram - Nyquist Stability Criterion - Relative Stability, Analysis using MATLAB PART A Q.No Questions BT Level Domain 1. Illustrate any two limitations of Routh-stability criterion. BTL 3 2. Report the advantages of Nyquist stability criterion over that of Routh s BTL 3 criterion. 3. Explain stability of a system. BTL 4
12 4. State Nyquist stability criterion. 5. Assess Routh Hurwitz stability criterion. BTL 5 6. What is the advantage of using root locus for design? 7. Express the rules to obtain the breakaway point in root locus. BTL 2 8. Describe BIBO stability Criterion. BTL 2 9. What is Centroid? BTL1 10. Quote Root locus 11. Associate the necessary and sufficient condition for stability. 12. Name the effects of addition of open loop poles? 13. Elaborate the Parameters which constitute frequency domain Specifications BTL Define characteristic equation. BTL1 15. In routh array what conclusion you can make when there is a row of all BTL 5 zeros 16. Relate roots of characteristic equation to stability. BTL Infer on dominant pole. BTL Compare the regions of root locations for stable, unstable and limitedly BTL 4 stable systems. 19. Mention asymptotes. How will you find the angle of asymptotes? BTL1 20. Using Routh Criterion, design the stability of the system represented by the characteristic equation s 4 +8s 3 +18s 2 +16s+5=0. BTL 6 PART B 1. Using Routh criterion, (i) Investigate the stability of a unity feedback control system whose open-loop transfer function is given by BTL 6 G(s) = e st s(s+2) (ii) Investigate the stability Closed loop control system has the characteristics equation S S S+1.5 = (i) Discuss the stability of a system with characteristics equation S 4 +S 3 +20S 2 +9S+100 = 0 using Routh Hurwitz criterion. BTL 2 (ii)explain the rules to construct a root locus.
13 3. Determine the range of K for stability of unity feedback system whose OLTF is k G(s) = Using RH criterion. s(s+1)(s+2) BTL 4 BTL 5 4. (i) Draw the root locus of the G(s) = k s 2 2 s 2s 3 whose H(s) = 1. Determine open loop gain k at = 0.7.(ii) Determine the range of K for which system is stable using RH Criterion S S S 2 +S +k = (i)Sketch the root locus of the system whose open loop transfer function is K/S(S+2)(S+4). Find the value of K so that the damping ratio of the Closed loop system is 0.5. (ii) Determine the range of values of K for which the unity feedback system, whose G(S) = K/S(S2+S +1) (S+4). Is stable and determine the frequency of sustained oscillations. 6. (i) Estimate Routh array and determine the stability of the system whose characteristic equation is S 6 +2S 5 +8S 4 +12S 3 +20S 2 +16S+16=0. Also determine the number of roots lying on right half of S-plane, left half of S- plane and on imaginary axis. BTL1 (ii) Explain the procedure for Nyquist Stability Criterion BTL4 7. (i) Interpret Routh array and determine the stability of the system whose characteristic equation is S 5 +S 4 +2S 3 +2S 2 +3S+5=0. Comment on the location of the roots of Characteristic equation. (ii) Summarize the rules used for construction of the Root Locus of a feedback system. 8. Label the Root Locus of the System whose open loop transfer function is G(S) = K / S (S+1) (S+3). Determine the Value of K for Damping Ratio equal to Demonstrate the Nyquist plot for a system, whose open loop transfer function is given by G(S) H(S) = K(1+S) 2 / S 3. Find the range of K for stability. 10. Demonstrate the Nyquist plot for the System whose open loop transfer function is G(s) H(s) = K / S (S+2) (S+10). Determine the range of K for which the closed loop System is Stable. BTL3 BTL3
14 UNIT V STATE VARIABLE ANALYSIS State space representation of Continuous Time systems State equations Transfer function from State Variable Representation Solutions of the state equations - Concepts of Controllability and Observability State space representation for Discrete time systems. Sampled Data control systems Sampling Theorem Sampler & Hold Open loop & Closed loop sampled data systems. PART A Q.No Questions BT Level Competence 1. Name the methods of state space representation for phase variables. 2. What is meant by quantization? 3. Write the properties of State transition matrix? 4. Determine the controllability of the system described by the state equation. BTL 5 5. Evaluate modal matrix. BTL5 6. What are the advantages of Sate Space representations? 7. Describe State and State Variable. 8. Define State equation. 9. Explain the concept of Controllability. BTL Summarize Sampled data Control System. BTL Discuss the advantages of State Space approach? BTL Explain Alias in sampling process? BTL4 13. State sampling theorem. 14. Propose the need for State variables. BTL Illustrate Observability of the System. BTL Design the Nyquist contour for the Pole which lie at origin BTL Illustrate closed loop sampled data systems. BTL3 18. Analyze the term Compensation. BTL Examine Open loop sampled data systems. BTL3 20. Distinguish type and order of the system. BTL 2 PART-B
15 1. Determine the state Controllability and Observability of the system described by x=[ 1 0 1]x +[ 0 0] u y= [ ]x i) Mention in detail a state space representation of a continuous time systems and discrete time systems. 3. Consider the system with state equation x ( x 2) =( 0 0 1) ( x 2 ) + ( 0) u(t) x x 3 1 x 1 BTL 5 BTL 3 Illustrate the controllability of the system. 4. For a given state variable representation of a second order system given below,write the state response for a unit step input and [ x 1 ]=[ 0 1 x ] [x 1 x ] + [ ] [u] [x 1 (0) x 2 (0) ] =[0 ] by using discrete time 1 approximation 5. A system is represented by State equation X = AX+BU; Y=CX Where A=[ ], B=[ 0 ] and C= [1 0 0].Explain the Transfer function of the System. 10 BTL 4 6. Y(S) A System is characterized by the Transfer function = U(S) 3. (s 3 +5s 2 Express whether or not the system is completely +11 s+6) controllable and observable and Identify the first state as output. BTL 2 7. i) The State model matrices of a system are given below A=[ ] B=[ 0] and C= [3 4 1] Generalize the Observability of the System using Gilberts test. ii) Find the Controllability of the System described by the following equations BTL 6 X =[ ] [X 1 ] + [ 0 X 2 1 ]u(t)
16 8. i) Analyze the Transfer function of the matrix from the data given below A= [ ] B= [1 1 ] C=[ 1 1] D= 0 ii) The Transfer function of a Control System is given by Y(S) (s+2) = U(S) (s 3 +9s s+24) and plan the controllability of the system. BTL3 BTL 4 BTL6 9. Mention the Transfer Function of the system. The State Space representation of a System is given below x x 1 0 ( x 2) =( ) ( x 2 ) + ( 0) u x x 3 1 BTL1 x 1 Y= (0 0 1) ( x 2 ) x i) Estimate the Controllability of the following state space system. x 1 = x 2 + u 2 x 2 = x 3 x 3 = 2x 2 3x 3 + u 1 + u 2 ii) Obtain the transfer function model for the following state space system. A = [ ] B = [1 ] C = [1 0] D[0] 0 s
17
KINGS COLLEGE OF ENGINEERING DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING
KINGS COLLEGE OF ENGINEERING DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING QUESTION BANK SUB.NAME : CONTROL SYSTEMS BRANCH : ECE YEAR : II SEMESTER: IV 1. What is control system? 2. Define open
More information(b) A unity feedback system is characterized by the transfer function. Design a suitable compensator to meet the following specifications:
1. (a) The open loop transfer function of a unity feedback control system is given by G(S) = K/S(1+0.1S)(1+S) (i) Determine the value of K so that the resonance peak M r of the system is equal to 1.4.
More informationVALLIAMMAI ENGINEERING COLLEGE
VALLIAMMAI ENGINEERING COLLEGE SRM Nagar, Kattankulathur 603 203 DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING QUESTION BANK V SEMESTER IC650 CONTROL SYSTEMS Regulation 203 Academic Year 207 8 Prepared
More informationINSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad
INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad - 500 043 Electrical and Electronics Engineering TUTORIAL QUESTION BAN Course Name : CONTROL SYSTEMS Course Code : A502 Class : III
More informationINSTITUTE OF AERONAUTICAL ENGINEERING Dundigal, Hyderabad ELECTRICAL AND ELECTRONICS ENGINEERING TUTORIAL QUESTION BANK
Course Name Course Code Class Branch INSTITUTE OF AERONAUTICAL ENGINEERING Dundigal, Hyderabad -500 043 ELECTRICAL AND ELECTRONICS ENGINEERING TUTORIAL QUESTION BAN : CONTROL SYSTEMS : A50 : III B. Tech
More informationDEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING
KINGS COLLEGE OF ENGINEERING DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING QUESTION BANK SUBJECT CODE & NAME: CONTROL SYSTEMS YEAR / SEM: II / IV UNIT I SYSTEMS AND THEIR REPRESENTATION PARTA [2
More informationNADAR SARASWATHI COLLEGE OF ENGINEERING AND TECHNOLOGY Vadapudupatti, Theni
NADAR SARASWATHI COLLEGE OF ENGINEERING AND TECHNOLOGY Vadapudupatti, Theni-625531 Question Bank for the Units I to V SE05 BR05 SU02 5 th Semester B.E. / B.Tech. Electrical & Electronics engineering IC6501
More informationEC6405 - CONTROL SYSTEM ENGINEERING Questions and Answers Unit - I Control System Modeling Two marks 1. What is control system? A system consists of a number of components connected together to perform
More informationControl Systems. University Questions
University Questions UNIT-1 1. Distinguish between open loop and closed loop control system. Describe two examples for each. (10 Marks), Jan 2009, June 12, Dec 11,July 08, July 2009, Dec 2010 2. Write
More information10ES-43 CONTROL SYSTEMS ( ECE A B&C Section) % of Portions covered Reference Cumulative Chapter. Topic to be covered. Part A
10ES-43 CONTROL SYSTEMS ( ECE A B&C Section) Faculty : Shreyus G & Prashanth V Chapter Title/ Class # Reference Literature Topic to be covered Part A No of Hours:52 % of Portions covered Reference Cumulative
More informationR a) Compare open loop and closed loop control systems. b) Clearly bring out, from basics, Force-current and Force-Voltage analogies.
SET - 1 II B. Tech II Semester Supplementary Examinations Dec 01 1. a) Compare open loop and closed loop control systems. b) Clearly bring out, from basics, Force-current and Force-Voltage analogies..
More informationEC 8391-CONTROL SYSTEMS ENGINEERING. Questions and Answers PART-A. Unit - I Systems Components And Their Representation
EC 8391-CONTROL SYSTEMS ENGINEERING Questions and Answers PART-A Unit - I Systems Components And Their Representation 1. What is control system? A system consists of a number of components connected together
More informationFATIMA MICHAEL COLLEGE OF ENGINEERING & TECHNOLOGY
FATIMA MICHAEL COLLEGE OF ENGINEERING & TECHNOLOGY Senkottai Village, Madurai Sivagangai Main Road, Madurai - 625 020. An ISO 9001:2008 Certified Institution DEPARTMENT OF ELECTRONICS AND COMMUNICATION
More informationEC CONTROL SYSTEM UNIT I- CONTROL SYSTEM MODELING
EC 2255 - CONTROL SYSTEM UNIT I- CONTROL SYSTEM MODELING 1. What is meant by a system? It is an arrangement of physical components related in such a manner as to form an entire unit. 2. List the two types
More informationCHAPTER 1 Basic Concepts of Control System. CHAPTER 6 Hydraulic Control System
CHAPTER 1 Basic Concepts of Control System 1. What is open loop control systems and closed loop control systems? Compare open loop control system with closed loop control system. Write down major advantages
More informationControls Problems for Qualifying Exam - Spring 2014
Controls Problems for Qualifying Exam - Spring 2014 Problem 1 Consider the system block diagram given in Figure 1. Find the overall transfer function T(s) = C(s)/R(s). Note that this transfer function
More informationIC6501 CONTROL SYSTEMS
DHANALAKSHMI COLLEGE OF ENGINEERING CHENNAI DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING YEAR/SEMESTER: II/IV IC6501 CONTROL SYSTEMS UNIT I SYSTEMS AND THEIR REPRESENTATION 1. What is the mathematical
More informationELECTRONICS & COMMUNICATIONS DEP. 3rd YEAR, 2010/2011 CONTROL ENGINEERING SHEET 5 Lead-Lag Compensation Techniques
CAIRO UNIVERSITY FACULTY OF ENGINEERING ELECTRONICS & COMMUNICATIONS DEP. 3rd YEAR, 00/0 CONTROL ENGINEERING SHEET 5 Lead-Lag Compensation Techniques [] For the following system, Design a compensator such
More informationR10 JNTUWORLD B 1 M 1 K 2 M 2. f(t) Figure 1
Code No: R06 R0 SET - II B. Tech II Semester Regular Examinations April/May 03 CONTROL SYSTEMS (Com. to EEE, ECE, EIE, ECC, AE) Time: 3 hours Max. Marks: 75 Answer any FIVE Questions All Questions carry
More informationRoot Locus Methods. The root locus procedure
Root Locus Methods Design of a position control system using the root locus method Design of a phase lag compensator using the root locus method The root locus procedure To determine the value of the gain
More informationTable of Laplacetransform
Appendix Table of Laplacetransform pairs 1(t) f(s) oct), unit impulse at t = 0 a, a constant or step of magnitude a at t = 0 a s t, a ramp function e- at, an exponential function s + a sin wt, a sine fun
More informationTest 2 SOLUTIONS. ENGI 5821: Control Systems I. March 15, 2010
Test 2 SOLUTIONS ENGI 5821: Control Systems I March 15, 2010 Total marks: 20 Name: Student #: Answer each question in the space provided or on the back of a page with an indication of where to find the
More informationStep input, ramp input, parabolic input and impulse input signals. 2. What is the initial slope of a step response of a first order system?
IC6501 CONTROL SYSTEM UNIT-II TIME RESPONSE PART-A 1. What are the standard test signals employed for time domain studies?(or) List the standard test signals used in analysis of control systems? (April
More informationDepartment of Electronics and Instrumentation Engineering M. E- CONTROL AND INSTRUMENTATION ENGINEERING CL7101 CONTROL SYSTEM DESIGN Unit I- BASICS AND ROOT-LOCUS DESIGN PART-A (2 marks) 1. What are the
More informationECE317 : Feedback and Control
ECE317 : Feedback and Control Lecture : Steady-state error Dr. Richard Tymerski Dept. of Electrical and Computer Engineering Portland State University 1 Course roadmap Modeling Analysis Design Laplace
More informationCHAPTER # 9 ROOT LOCUS ANALYSES
F K א CHAPTER # 9 ROOT LOCUS ANALYSES 1. Introduction The basic characteristic of the transient response of a closed-loop system is closely related to the location of the closed-loop poles. If the system
More informationDynamic Compensation using root locus method
CAIRO UNIVERSITY FACULTY OF ENGINEERING ELECTRONICS & COMMUNICATIONS DEP. 3rd YEAR, 00/0 CONTROL ENGINEERING SHEET 9 Dynamic Compensation using root locus method [] (Final00)For the system shown in the
More informationPerformance of Feedback Control Systems
Performance of Feedback Control Systems Design of a PID Controller Transient Response of a Closed Loop System Damping Coefficient, Natural frequency, Settling time and Steady-state Error and Type 0, Type
More informationAlireza Mousavi Brunel University
Alireza Mousavi Brunel University 1 » Control Process» Control Systems Design & Analysis 2 Open-Loop Control: Is normally a simple switch on and switch off process, for example a light in a room is switched
More information100 (s + 10) (s + 100) e 0.5s. s 100 (s + 10) (s + 100). G(s) =
1 AME 3315; Spring 215; Midterm 2 Review (not graded) Problems: 9.3 9.8 9.9 9.12 except parts 5 and 6. 9.13 except parts 4 and 5 9.28 9.34 You are given the transfer function: G(s) = 1) Plot the bode plot
More informationLecture 6 Classical Control Overview IV. Dr. Radhakant Padhi Asst. Professor Dept. of Aerospace Engineering Indian Institute of Science - Bangalore
Lecture 6 Classical Control Overview IV Dr. Radhakant Padhi Asst. Professor Dept. of Aerospace Engineering Indian Institute of Science - Bangalore Lead Lag Compensator Design Dr. Radhakant Padhi Asst.
More informationLecture 5: Frequency domain analysis: Nyquist, Bode Diagrams, second order systems, system types
Lecture 5: Frequency domain analysis: Nyquist, Bode Diagrams, second order systems, system types Venkata Sonti Department of Mechanical Engineering Indian Institute of Science Bangalore, India, 562 This
More informationContents. PART I METHODS AND CONCEPTS 2. Transfer Function Approach Frequency Domain Representations... 42
Contents Preface.............................................. xiii 1. Introduction......................................... 1 1.1 Continuous and Discrete Control Systems................. 4 1.2 Open-Loop
More informationCHAPTER 7 STEADY-STATE RESPONSE ANALYSES
CHAPTER 7 STEADY-STATE RESPONSE ANALYSES 1. Introduction The steady state error is a measure of system accuracy. These errors arise from the nature of the inputs, system type and from nonlinearities of
More information6.1 Sketch the z-domain root locus and find the critical gain for the following systems K., the closed-loop characteristic equation is K + z 0.
6. Sketch the z-domain root locus and find the critical gain for the following systems K (i) Gz () z 4. (ii) Gz K () ( z+ 9. )( z 9. ) (iii) Gz () Kz ( z. )( z ) (iv) Gz () Kz ( + 9. ) ( z. )( z 8. ) (i)
More informationECE317 : Feedback and Control
ECE317 : Feedback and Control Lecture : Routh-Hurwitz stability criterion Examples Dr. Richard Tymerski Dept. of Electrical and Computer Engineering Portland State University 1 Course roadmap Modeling
More informationTime Response Analysis (Part II)
Time Response Analysis (Part II). A critically damped, continuous-time, second order system, when sampled, will have (in Z domain) (a) A simple pole (b) Double pole on real axis (c) Double pole on imaginary
More informationEEE 184 Project: Option 1
EEE 184 Project: Option 1 Date: November 16th 2012 Due: December 3rd 2012 Work Alone, show your work, and comment your results. Comments, clarity, and organization are important. Same wrong result or same
More informationME 475/591 Control Systems Final Exam Fall '99
ME 475/591 Control Systems Final Exam Fall '99 Closed book closed notes portion of exam. Answer 5 of the 6 questions below (20 points total) 1) What is a phase margin? Under ideal circumstances, what does
More informationCO Statement. Book No [Page No] C C C C
IC6501 CONTROL SYSTEMS L T P C 3 1 0 4 OBJECTIVES: To understand the use of transfer function models for analysis physical systems and introduce the control system components. To provide adequate knowledge
More informationMAS107 Control Theory Exam Solutions 2008
MAS07 CONTROL THEORY. HOVLAND: EXAM SOLUTION 2008 MAS07 Control Theory Exam Solutions 2008 Geir Hovland, Mechatronics Group, Grimstad, Norway June 30, 2008 C. Repeat question B, but plot the phase curve
More informationEEE 184: Introduction to feedback systems
EEE 84: Introduction to feedback systems Summary 6 8 8 x 7 7 6 Level() 6 5 4 4 5 5 time(s) 4 6 8 Time (seconds) Fig.. Illustration of BIBO stability: stable system (the input is a unit step) Fig.. step)
More informationSAMPLE SOLUTION TO EXAM in MAS501 Control Systems 2 Autumn 2015
FACULTY OF ENGINEERING AND SCIENCE SAMPLE SOLUTION TO EXAM in MAS501 Control Systems 2 Autumn 2015 Lecturer: Michael Ruderman Problem 1: Frequency-domain analysis and control design (15 pt) Given is a
More informationHomework 7 - Solutions
Homework 7 - Solutions Note: This homework is worth a total of 48 points. 1. Compensators (9 points) For a unity feedback system given below, with G(s) = K s(s + 5)(s + 11) do the following: (c) Find the
More information7.4 STEP BY STEP PROCEDURE TO DRAW THE ROOT LOCUS DIAGRAM
ROOT LOCUS TECHNIQUE. Values of on the root loci The value of at any point s on the root loci is determined from the following equation G( s) H( s) Product of lengths of vectors from poles of G( s)h( s)
More informationCONTROL SYSTEMS LECTURE NOTES B.TECH (II YEAR II SEM) ( ) Prepared by: Mrs.P.ANITHA, Associate Professor Mr.V.KIRAN KUMAR, Assistant Professor
LECTURE NOTES B.TECH (II YEAR II SEM) (2017-18) Prepared by: Mrs.P.ANITHA, Associate Professor Mr.V.KIRAN KUMAR, Assistant Professor Department of Electronics and Communication Engineering MALLA REDDY
More informationDr Ian R. Manchester Dr Ian R. Manchester AMME 3500 : Review
Week Date Content Notes 1 6 Mar Introduction 2 13 Mar Frequency Domain Modelling 3 20 Mar Transient Performance and the s-plane 4 27 Mar Block Diagrams Assign 1 Due 5 3 Apr Feedback System Characteristics
More informationPID controllers. Laith Batarseh. PID controllers
Next Previous 24-Jan-15 Chapter six Laith Batarseh Home End The controller choice is an important step in the control process because this element is responsible of reducing the error (e ss ), rise time
More informationChapter 7 : Root Locus Technique
Chapter 7 : Root Locus Technique By Electrical Engineering Department College of Engineering King Saud University 1431-143 7.1. Introduction 7.. Basics on the Root Loci 7.3. Characteristics of the Loci
More informationFrequency Response Techniques
4th Edition T E N Frequency Response Techniques SOLUTION TO CASE STUDY CHALLENGE Antenna Control: Stability Design and Transient Performance First find the forward transfer function, G(s). Pot: K 1 = 10
More informationME 304 CONTROL SYSTEMS Spring 2016 MIDTERM EXAMINATION II
ME 30 CONTROL SYSTEMS Spring 06 Course Instructors Dr. Tuna Balkan, Dr. Kıvanç Azgın, Dr. Ali Emre Turgut, Dr. Yiğit Yazıcıoğlu MIDTERM EXAMINATION II May, 06 Time Allowed: 00 minutes Closed Notes and
More informationECE 486 Control Systems
ECE 486 Control Systems Spring 208 Midterm #2 Information Issued: April 5, 208 Updated: April 8, 208 ˆ This document is an info sheet about the second exam of ECE 486, Spring 208. ˆ Please read the following
More informationCYBER EXPLORATION LABORATORY EXPERIMENTS
CYBER EXPLORATION LABORATORY EXPERIMENTS 1 2 Cyber Exploration oratory Experiments Chapter 2 Experiment 1 Objectives To learn to use MATLAB to: (1) generate polynomial, (2) manipulate polynomials, (3)
More informationOutline. Classical Control. Lecture 1
Outline Outline Outline 1 Introduction 2 Prerequisites Block diagram for system modeling Modeling Mechanical Electrical Outline Introduction Background Basic Systems Models/Transfers functions 1 Introduction
More informationRadar Dish. Armature controlled dc motor. Inside. θ r input. Outside. θ D output. θ m. Gearbox. Control Transmitter. Control. θ D.
Radar Dish ME 304 CONTROL SYSTEMS Mechanical Engineering Department, Middle East Technical University Armature controlled dc motor Outside θ D output Inside θ r input r θ m Gearbox Control Transmitter
More informationDue Wednesday, February 6th EE/MFS 599 HW #5
Due Wednesday, February 6th EE/MFS 599 HW #5 You may use Matlab/Simulink wherever applicable. Consider the standard, unity-feedback closed loop control system shown below where G(s) = /[s q (s+)(s+9)]
More informationIndex. Index. More information. in this web service Cambridge University Press
A-type elements, 4 7, 18, 31, 168, 198, 202, 219, 220, 222, 225 A-type variables. See Across variable ac current, 172, 251 ac induction motor, 251 Acceleration rotational, 30 translational, 16 Accumulator,
More informationCONTROL SYSTEMS ENGINEERING Sixth Edition International Student Version
CONTROL SYSTEMS ENGINEERING Sixth Edition International Student Version Norman S. Nise California State Polytechnic University, Pomona John Wiley fir Sons, Inc. Contents PREFACE, vii 1. INTRODUCTION, 1
More informationINTRODUCTION TO DIGITAL CONTROL
ECE4540/5540: Digital Control Systems INTRODUCTION TO DIGITAL CONTROL.: Introduction In ECE450/ECE550 Feedback Control Systems, welearnedhow to make an analog controller D(s) to control a linear-time-invariant
More informationChemical Process Dynamics and Control. Aisha Osman Mohamed Ahmed Department of Chemical Engineering Faculty of Engineering, Red Sea University
Chemical Process Dynamics and Control Aisha Osman Mohamed Ahmed Department of Chemical Engineering Faculty of Engineering, Red Sea University 1 Chapter 4 System Stability 2 Chapter Objectives End of this
More informationDelhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web: Ph:
Serial : 0. LS_D_ECIN_Control Systems_30078 Delhi Noida Bhopal Hyderabad Jaipur Lucnow Indore Pune Bhubaneswar Kolata Patna Web: E-mail: info@madeeasy.in Ph: 0-4546 CLASS TEST 08-9 ELECTRONICS ENGINEERING
More informationOutline. Classical Control. Lecture 5
Outline Outline Outline 1 What is 2 Outline What is Why use? Sketching a 1 What is Why use? Sketching a 2 Gain Controller Lead Compensation Lag Compensation What is Properties of a General System Why use?
More information(a) Find the transfer function of the amplifier. Ans.: G(s) =
126 INTRDUCTIN T CNTR ENGINEERING 10( s 1) (a) Find the transfer function of the amplifier. Ans.: (. 02s 1)(. 001s 1) (b) Find the expected percent overshoot for a step input for the closed-loop system
More informationEE C128 / ME C134 Fall 2014 HW 6.2 Solutions. HW 6.2 Solutions
EE C28 / ME C34 Fall 24 HW 6.2 Solutions. PI Controller For the system G = K (s+)(s+3)(s+8) HW 6.2 Solutions in negative feedback operating at a damping ratio of., we are going to design a PI controller
More informationCONTROL * ~ SYSTEMS ENGINEERING
CONTROL * ~ SYSTEMS ENGINEERING H Fourth Edition NormanS. Nise California State Polytechnic University, Pomona JOHN WILEY& SONS, INC. Contents 1. Introduction 1 1.1 Introduction, 2 1.2 A History of Control
More informationCompensation 8. f4 that separate these regions of stability and instability. The characteristic S 0 L U T I 0 N S
S 0 L U T I 0 N S Compensation 8 Note: All references to Figures and Equations whose numbers are not preceded by an "S"refer to the textbook. As suggested in Lecture 8, to perform a Nyquist analysis, we
More informationControl Systems. EC / EE / IN. For
Control Systems For EC / EE / IN By www.thegateacademy.com Syllabus Syllabus for Control Systems Basic Control System Components; Block Diagrammatic Description, Reduction of Block Diagrams. Open Loop
More informationDigital Control Systems
Digital Control Systems Lecture Summary #4 This summary discussed some graphical methods their use to determine the stability the stability margins of closed loop systems. A. Nyquist criterion Nyquist
More informationCourse Summary. The course cannot be summarized in one lecture.
Course Summary Unit 1: Introduction Unit 2: Modeling in the Frequency Domain Unit 3: Time Response Unit 4: Block Diagram Reduction Unit 5: Stability Unit 6: Steady-State Error Unit 7: Root Locus Techniques
More information1 (s + 3)(s + 2)(s + a) G(s) = C(s) = K P + K I
MAE 43B Linear Control Prof. M. Krstic FINAL June 9, Problem. ( points) Consider a plant in feedback with the PI controller G(s) = (s + 3)(s + )(s + a) C(s) = K P + K I s. (a) (4 points) For a given constant
More informationProfessor Fearing EE C128 / ME C134 Problem Set 7 Solution Fall 2010 Jansen Sheng and Wenjie Chen, UC Berkeley
Professor Fearing EE C8 / ME C34 Problem Set 7 Solution Fall Jansen Sheng and Wenjie Chen, UC Berkeley. 35 pts Lag compensation. For open loop plant Gs ss+5s+8 a Find compensator gain Ds k such that the
More informationSystems Analysis and Control
Systems Analysis and Control Matthew M. Peet Arizona State University Lecture 21: Stability Margins and Closing the Loop Overview In this Lecture, you will learn: Closing the Loop Effect on Bode Plot Effect
More information1 An Overview and Brief History of Feedback Control 1. 2 Dynamic Models 23. Contents. Preface. xiii
Contents 1 An Overview and Brief History of Feedback Control 1 A Perspective on Feedback Control 1 Chapter Overview 2 1.1 A Simple Feedback System 3 1.2 A First Analysis of Feedback 6 1.3 Feedback System
More informationController Design using Root Locus
Chapter 4 Controller Design using Root Locus 4. PD Control Root locus is a useful tool to design different types of controllers. Below, we will illustrate the design of proportional derivative controllers
More informationEE C128 / ME C134 Fall 2014 HW 8 - Solutions. HW 8 - Solutions
EE C28 / ME C34 Fall 24 HW 8 - Solutions HW 8 - Solutions. Transient Response Design via Gain Adjustment For a transfer function G(s) = in negative feedback, find the gain to yield a 5% s(s+2)(s+85) overshoot
More informationChapter 2. Classical Control System Design. Dutch Institute of Systems and Control
Chapter 2 Classical Control System Design Overview Ch. 2. 2. Classical control system design Introduction Introduction Steady-state Steady-state errors errors Type Type k k systems systems Integral Integral
More informationECE382/ME482 Spring 2005 Homework 7 Solution April 17, K(s + 0.2) s 2 (s + 2)(s + 5) G(s) =
ECE382/ME482 Spring 25 Homework 7 Solution April 17, 25 1 Solution to HW7 AP9.5 We are given a system with open loop transfer function G(s) = K(s +.2) s 2 (s + 2)(s + 5) (1) and unity negative feedback.
More informationControl Systems Engineering ( Chapter 8. Root Locus Techniques ) Prof. Kwang-Chun Ho Tel: Fax:
Control Systems Engineering ( Chapter 8. Root Locus Techniques ) Prof. Kwang-Chun Ho kwangho@hansung.ac.kr Tel: 02-760-4253 Fax:02-760-4435 Introduction In this lesson, you will learn the following : The
More informationr + - FINAL June 12, 2012 MAE 143B Linear Control Prof. M. Krstic
MAE 43B Linear Control Prof. M. Krstic FINAL June, One sheet of hand-written notes (two pages). Present your reasoning and calculations clearly. Inconsistent etchings will not be graded. Write answers
More informationEE3CL4: Introduction to Linear Control Systems
1 / 17 EE3CL4: Introduction to Linear Control Systems Section 7: McMaster University Winter 2018 2 / 17 Outline 1 4 / 17 Cascade compensation Throughout this lecture we consider the case of H(s) = 1. We
More informationTransient response via gain adjustment. Consider a unity feedback system, where G(s) = 2. The closed loop transfer function is. s 2 + 2ζωs + ω 2 n
Design via frequency response Transient response via gain adjustment Consider a unity feedback system, where G(s) = ωn 2. The closed loop transfer function is s(s+2ζω n ) T(s) = ω 2 n s 2 + 2ζωs + ω 2
More informationECEN 605 LINEAR SYSTEMS. Lecture 20 Characteristics of Feedback Control Systems II Feedback and Stability 1/27
1/27 ECEN 605 LINEAR SYSTEMS Lecture 20 Characteristics of Feedback Control Systems II Feedback and Stability Feedback System Consider the feedback system u + G ol (s) y Figure 1: A unity feedback system
More informationAutomatic Control 2. Loop shaping. Prof. Alberto Bemporad. University of Trento. Academic year
Automatic Control 2 Loop shaping Prof. Alberto Bemporad University of Trento Academic year 21-211 Prof. Alberto Bemporad (University of Trento) Automatic Control 2 Academic year 21-211 1 / 39 Feedback
More informationSystems Analysis and Control
Systems Analysis and Control Matthew M. Peet Arizona State University Lecture 23: Drawing The Nyquist Plot Overview In this Lecture, you will learn: Review of Nyquist Drawing the Nyquist Plot Using the
More informationThe requirements of a plant may be expressed in terms of (a) settling time (b) damping ratio (c) peak overshoot --- in time domain
Compensators To improve the performance of a given plant or system G f(s) it may be necessary to use a compensator or controller G c(s). Compensator Plant G c (s) G f (s) The requirements of a plant may
More informationK(s +2) s +20 K (s + 10)(s +1) 2. (c) KG(s) = K(s + 10)(s +1) (s + 100)(s +5) 3. Solution : (a) KG(s) = s +20 = K s s
321 16. Determine the range of K for which each of the following systems is stable by making a Bode plot for K = 1 and imagining the magnitude plot sliding up or down until instability results. Verify
More informationChapter 7. Digital Control Systems
Chapter 7 Digital Control Systems 1 1 Introduction In this chapter, we introduce analysis and design of stability, steady-state error, and transient response for computer-controlled systems. Transfer functions,
More informationProblems -X-O («) s-plane. s-plane *~8 -X -5. id) X s-plane. s-plane. -* Xtg) FIGURE P8.1. j-plane. JO) k JO)
Problems 1. For each of the root loci shown in Figure P8.1, tell whether or not the sketch can be a root locus. If the sketch cannot be a root locus, explain why. Give all reasons. [Section: 8.4] *~8 -X-O
More informationROOT LOCUS. Consider the system. Root locus presents the poles of the closed-loop system when the gain K changes from 0 to. H(s) H ( s) = ( s)
C1 ROOT LOCUS Consider the system R(s) E(s) C(s) + K G(s) - H(s) C(s) R(s) = K G(s) 1 + K G(s) H(s) Root locus presents the poles of the closed-loop system when the gain K changes from 0 to 1+ K G ( s)
More informationCHAPTER 7 : BODE PLOTS AND GAIN ADJUSTMENTS COMPENSATION
CHAPTER 7 : BODE PLOTS AND GAIN ADJUSTMENTS COMPENSATION Objectives Students should be able to: Draw the bode plots for first order and second order system. Determine the stability through the bode plots.
More informationAMME3500: System Dynamics & Control
Stefan B. Williams May, 211 AMME35: System Dynamics & Control Assignment 4 Note: This assignment contributes 15% towards your final mark. This assignment is due at 4pm on Monday, May 3 th during Week 13
More informationProblem Weight Score Total 100
EE 350 EXAM IV 15 December 2010 Last Name (Print): First Name (Print): ID number (Last 4 digits): Section: DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO Problem Weight Score 1 25 2 25 3 25 4 25 Total
More informationVALLIAMMAI ENGINEERING COLLEGE
VALLIAMMAI ENGINEERING COLLEGE SRM Nagar, Kattankulathur 6 DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING QESTION BANK ME-Power Systems Engineering I st Year SEMESTER I IN55- SYSTEM THEORY Regulation
More informationBangladesh University of Engineering and Technology. EEE 402: Control System I Laboratory
Bangladesh University of Engineering and Technology Electrical and Electronic Engineering Department EEE 402: Control System I Laboratory Experiment No. 4 a) Effect of input waveform, loop gain, and system
More informationa. Closed-loop system; b. equivalent transfer function Then the CLTF () T is s the poles of () T are s from a contribution of a
Root Locus Simple definition Locus of points on the s- plane that represents the poles of a system as one or more parameter vary. RL and its relation to poles of a closed loop system RL and its relation
More informationPrüfung Regelungstechnik I (Control Systems I) Übersetzungshilfe / Translation aid (English) To be returned at the end of the exam!
Prüfung Regelungstechnik I (Control Systems I) Prof. Dr. Lino Guzzella 29. 8. 2 Übersetzungshilfe / Translation aid (English) To be returned at the end of the exam! Do not mark up this translation aid
More informationModule 3F2: Systems and Control EXAMPLES PAPER 2 ROOT-LOCUS. Solutions
Cambridge University Engineering Dept. Third Year Module 3F: Systems and Control EXAMPLES PAPER ROOT-LOCUS Solutions. (a) For the system L(s) = (s + a)(s + b) (a, b both real) show that the root-locus
More informationD(s) G(s) A control system design definition
R E Compensation D(s) U Plant G(s) Y Figure 7. A control system design definition x x x 2 x 2 U 2 s s 7 2 Y Figure 7.2 A block diagram representing Eq. (7.) in control form z U 2 s z Y 4 z 2 s z 2 3 Figure
More informationIf you need more room, use the backs of the pages and indicate that you have done so.
EE 343 Exam II Ahmad F. Taha Spring 206 Your Name: Your Signature: Exam duration: hour and 30 minutes. This exam is closed book, closed notes, closed laptops, closed phones, closed tablets, closed pretty
More informationCourse roadmap. Step response for 2nd-order system. Step response for 2nd-order system
ME45: Control Systems Lecture Time response of nd-order systems Prof. Clar Radcliffe and Prof. Jongeun Choi Department of Mechanical Engineering Michigan State University Modeling Laplace transform Transfer
More information